A method is presented for calculating the stress relaxation due to scission in elastomeric components that operate at a fixed deformation while at an elevated temperature. A relationship is established between stresses at different temperatures that is called the correspondence principle for scission/healing materials. Two examples involving cylinders illustrate its use. The first example involves combined tension-torsion, for which an axial force-twisting moment relation is derived, that might be useful in experimental studies to assess the applicability of the correspondence principle. The second example provides a criterion for estimating the lifetime of an annular seal.

Issue Section:
Technical Papers
Keywords:
elastomers, plastic products, sealing materials, stress relaxation, shear deformation, stress analysis, internal stresses, torsion, numerical analysis
Topics:
Deformation, Relaxation (Physics), Stress, Temperature, Torsion, Cylinders, Tension
1.
Tobolsky, A. V., 1960, Properties and Structures of Polymers, Wiley, New York, Chap. V, pp. 223–265.
2.
Wineman, A. S., Jones, A., and Shaw, J. A., 2002, “Life-Cycle and Durability Predictions of Elastomeric Components,” Modeling and Simulation-Based Life Cycle Engineering, K. P., Chong, S., Saigal, S., Thynell, and H. S. Morgan, eds., Spon, New York, pp. 155–169.
3.
Wineman, A. S., and Rajagopal, K. R., 2000, Mechanical Response of Polymers, Cambridge University Press, New York.
4.
Tobolsky
,
A. V.
,
Prettyman
,
I. B.
, and
Dillon
,
J. H.
,
1944
, “
Stress Relaxation of Natural and Synthetic Rubber Stocks
,”
J. Appl. Phys.
,
15
, pp.
380
–
395
.
5.
Scanlan, J., and Watson, W. F., 1958, “The Interpretation of Stress-Relaxation Measurements Made on Rubber During Aging,” Trans. Faraday Soc., 54, pp. 740–750.
6.
Neubert
,
D.
, and
Saunders
,
D. W.
,
1958
, “
Some Observations of the Permanent Set of Cross-linked Natural Rubber Samples After Heating in a State of Pure Shear
,”
Rheol. Acta
,
1
, pp.
151
–
157
.
7.
Fong
,
J. T.
, and
Zapas
,
L. J.
,
1976
, “
Chemorheology and the Mechanical Behavior of Vulcanized Rubber
,”
Trans. Soc. Rheol.
,
20
, pp.
319
–
338
.
8.
Wineman
,
A. S.
, and
Shaw
,
J. A.
,
2002
, “
Scission and Healing in a Spinning Elastomeric Cylinder at Elevated Temperature
,”
ASME J. Appl. Mech.
,
69
, pp.
602
–
609
.
9.
Han
,
W. H.
,
Horkay
,
F.
, and
McKenna
,
G. B.
,
1999
, “
Mechanical and Swelling Behaviors of Rubber: A Comparison of Some Molecular Models With Experiment
,”
Math. Mech. Solids
,
4
, pp.
139
–
167
.
10.
Ogden, R. W., 1997, Non-Linear Elastic Deformations, Dover, Mineola, NY.
Copyright © 2004
 by ASME
You do not currently have access to this content.